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Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45 with the vertical, steps off his tree limb, and swings down and then up to Janes open arms. When he arrives, his vine makes an angle of 30 with the vertical.
Calculate Tarzans speed just before he reaches Jane. You can ignore air resistance and the mass of the vine.